Online GCD Calculator is useful to find the GCD of 344, 664, 120, 280 quickly. Get the easiest ways to solve the greatest common divisor of 344, 664, 120, 280 i.e 8 in different methods as follows.
Given Input numbers are 344, 664, 120, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 344 :
The positive integer divisors of 344 that completely divides 344 are.
1, 2, 4, 8, 43, 86, 172, 344
Divisors of 664 :
The positive integer divisors of 664 that completely divides 664 are.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (344, 664, 120, 280) = 8.
Given numbers are 344, 664, 120, 280
The list of prime factors of all numbers are
Prime factors of 344 are 2 x 2 x 2 x 43
Prime factors of 664 are 2 x 2 x 2 x 83
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 23
Therefore, GCD of 344, 664, 120, 280 is 8.
Given numbers are 344, 664, 120, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(344, 664) = 28552
GCD(344, 664) = ( 344 x 664 ) / 28552
= 344 / 664
= 344
Step2:
LCM(8, 120) = 120
GCD(8, 120) = ( 8 x 120 ) / 120
= 8 / 120
= 8
Step3:
LCM(8, 280) = 280
GCD(8, 280) = ( 8 x 280 ) / 280
= 8 / 280
= 8
So, Greatest Common Divisor of 344, 664, 120, 280 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 344, 664, 120, 280
The greatest common divisor of numbers 344, 664, 120, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 664, 120, 280 is 8.
1. What is the GCD of 344, 664, 120, 280?
GCD of given numbers 344, 664, 120, 280 is 8
2. How to calculate the greatest common divisor of 344, 664, 120, 280?
We can find the highest common divisor of 344, 664, 120, 280 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 344, 664, 120, 280 i.e 8.
3. How can I use the GCD of 344, 664, 120, 280Calculator?
Out the numbers 344, 664, 120, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.